Green tea is "normal" tea. Black, green, white, and oolong teas are all made from the same "tea" plant. The differences are a matter of preparation and processing. If you cannot tolerate "normal" tea (you are probably thinking black?) then I doubt you will be able to tolerate green either, as it is largely the same beverage, only differently prepared.
I would suggest trying herbal teas, which do not contain any of the tea leaf of true tea. Peppermint and chamomile teas are pleasant and soothing, known for aiding in inflammation and digestive pain.